Question

I need help with this!

Which scale factors produce a expansion under a dilation of the original image?


Select each correct answer.


​A. −2​


​B. −0.75​

C. 0.75

D. 2 

Choose two correct answers!

Answer 1

Answer: A. −2​ and D. 2

Explanation:

A scale factor (k) is number which is used to scale a figure.

It is basically used to either reduce or enlarge the size of the figure

• When |k| = 1 then there is no change in size.
• When |k|> 1 then there is an expansion .
• When |k| < 1 then there is an reduction.

A dilation is transformation which uses scale factor to produce the images of same shape as original but of different size.

From the given options , |-2|>1 and |2|>1 where as |-0.75|=0.75<1 and |0.75|<1

Therefore the scale factors produce a expansion under a dilation of the original image are : -2 and 2.

Hence, the correct options are A. −2​ and D. 2 .

Answer 2

A. -2

D. 2

Explanation:

"Expansion" means the magnitude of the scale factor is more than 1. Your choices for that are -2 and 2.

(0.75 and |-0.75| are less than 1.)